Solve 3(x+2)+4<-2x+14+x

$$3 ( x + 2 ) + 4 < - 2 x + 14 + x$$

Solve for x

$$x<1$$

Solution Steps

Use the distributive property to multiply 3 by x+2.

$$3x+6+4<-2x+14+x$$

Add 6 and 4 to get 10.

$$3x+10<-2x+14+x$$

Combine -2x and x to get -x.

$$3x+10<-x+14$$

Add x to both sides.

$$3x+10+x<14$$

Combine 3x and x to get 4x.

$$4x+10<14$$

Subtract 10 from both sides.

$$4x<14-10$$

Subtract 10 from 14 to get 4.

$$4x<4$$

Divide both sides by 4. Since 4 is positive, the inequality direction remains the same.

$$x<\frac{4}{4}$$

Divide 4 by 4 to get 1.

$$x<1$$